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Finding the Third Proportional to 55,477 and 121,312

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Solution

The third proportional to 55,477 and 121,312 is: 265,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,477 : 121,312 = 121,312 : x
  2. Step 2: Convert to fraction form
    55,477/121,312 = 121,312/x
  3. Step 3: Cross multiply
    55,477x = 121,312 × 121,312
  4. Step 4: Simplify right side
    55,477x = 14,716,601,344
  5. Step 5: Solve for x
    x = 14,716,601,344/55,477
  6. Step 6: Final answer
    x = 265,273.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.